Variable Annuities with State-Dependent Fees

  • Anna Rita BacinelloEmail author
  • Ivan Zoccolan


In this paper we consider a variable annuity with guarantees at death and maturity financed through the application of state-dependent fees. We define a general valuation model for them, and propose to apply the LSMC approach in order to analyse the interaction between fee rates, death/maturity guarantees, fee thresholds and surrender penalties under alternative model assumptions and policyholder behaviours. However, special care is needed in the numerical implementation of this approach, due to the shape of the surrender region. We can stem the numerical errors arising in the regression step by using suitable arrangements of the LSMC valuation algorithm.


Variable annuities State-dependent fees Surrender option LSMC 


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    Bacinello, A.R., Zoccolan, I.: Variable Annuities with State-Dependent Fees: Valuation, Numerical Implementation, Comparative Static Analysis and Model Risk. DEAMS Research Paper Series, n.1/2017 (2017). Available online at
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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Economics, Business, Mathematics and Statistics ‘B. de Finetti’University of TriesteTriesteItaly
  2. 2.Oracle Italia S.r.l.Cinisello BalsamoItaly

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